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Finding the Fourth Proportional to 261,781.93, 361,219.70 and 147,038.59

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Solution

The fourth proportional to 261,781.93, 361,219.70 and 147,038.59 is: 202,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,781.93 : 361,219.70 = 147,038.59 : x
  2. Step 2: Convert to fraction form
    261,781.93/361,219.70 = 147,038.59/x
  3. Step 3: Cross multiply
    261,781.93x = 361,219.70 × 147,038.59
  4. Step 4: Simplify right side
    261,781.93x = 53,113,236,187.34
  5. Step 5: Solve for x
    x = 53,113,236,187.34/261,781.93
  6. Step 6: Final answer
    x = 202,891.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.